document.write( "Question 1034727: Give a geometric description of the following problem:
\n" ); document.write( "\"+x%5E2+%2B+y%5E2+%2B+z%5E2+=+4+\", \"+y+=+x+\"\r
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\n" ); document.write( "I know that it is some kind of a sphere. But the \"+y+=+x+\" part is throwing me off.\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #649431 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Give a geometric description of the following problem:
\n" ); document.write( "\"+x%5E2+%2B+y%5E2+%2B+z%5E2+=+4+\", \"+y+=+x+\"\r
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\n" ); document.write( "I know that it is some kind of a sphere. But the \"+y+=+x+\" part is throwing me off.\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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\n" ); document.write( "\n" ); document.write( "First equation describes the sphere in 3D of the radius 2 with the center at the origin of the coordinate system.\r
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\n" ); document.write( "\n" ); document.write( "The second equation describes the plane in the same 3D space. It passes through the origin of the coordinate system and contains the axis z.\r
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\n" ); document.write( "\n" ); document.write( "Together, they describe the section of the sphere by the plane (their common points), which is a circle. It is a diametric section of the sphere. \r
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